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Simplifying -5x2 + -12x + -99 = 0 Reorder the terms: -99 + -12x + -5x2 = 0 Solving -99 + -12x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(99 + 12x + 5x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(99 + 12x + 5x2)' equal to zero and attempt to solve: Simplifying 99 + 12x + 5x2 = 0 Solving 99 + 12x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 19.8 + 2.4x + x2 = 0 Move the constant term to the right: Add '-19.8' to each side of the equation. 19.8 + 2.4x + -19.8 + x2 = 0 + -19.8 Reorder the terms: 19.8 + -19.8 + 2.4x + x2 = 0 + -19.8 Combine like terms: 19.8 + -19.8 = 0.0 0.0 + 2.4x + x2 = 0 + -19.8 2.4x + x2 = 0 + -19.8 Combine like terms: 0 + -19.8 = -19.8 2.4x + x2 = -19.8 The x term is 2.4x. Take half its coefficient (1.2). Square it (1.44) and add it to both sides. Add '1.44' to each side of the equation. 2.4x + 1.44 + x2 = -19.8 + 1.44 Reorder the terms: 1.44 + 2.4x + x2 = -19.8 + 1.44 Combine like terms: -19.8 + 1.44 = -18.36 1.44 + 2.4x + x2 = -18.36 Factor a perfect square on the left side: (x + 1.2)(x + 1.2) = -18.36 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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